$5\mathrm{.}14($a$)$ The above diagram shows a $111$ standard projection of an fcc crystal in which the standard stereographic triangles are outlined. Assuming that the point, $a,$ in the figure represents the orientation of the tensile stress axis, indicate on a copy of this diagram the path that the crystal axis should follow during tensile deformation of the crystal.

$($b$)$ Give the Miller indices of the final stress axis orientation

$5\mathrm{.}16$ For the case of tensile deformation considered in Problem $5\mathrm{.}14,$ determine the indices of the primary, conjugate, and cross$-$slip slip systems as well as that of the critical plane.!